Finding the Third Proportional to 320,505 and 464,221.50

Step by Step Solution

1. Step 1: Write the proportion equation
   320,505 : 464,221.50 = 464,221.50 : x
2. Step 2: Convert to fraction form
   320,505/464,221.50 = 464,221.50/x
3. Step 3: Cross multiply
   320,505x = 464,221.50 × 464,221.50
4. Step 4: Simplify right side
   320,505x = 215,501,601,062.25
5. Step 5: Solve for x
   x = 215,501,601,062.25/320,505
6. Step 6: Final answer
   x = 672,381.40